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Nov, 2023
频率或其部分和的区间截尾约束下的多项式似然函数的对数凹性
Log-Concavity of Multinomial Likelihood Functions Under Interval Censoring Constraints on Frequencies or Their Partial Sums
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Bruce Levin, Erik Learned-Miller
TL;DR
我们证明了在任意区间截尾约束下观测到的多项式向量的似然函数在频率或部分和上是完全对数凹的，通过证明约束样本空间包含离散单纯形的M-凸子集。
Abstract
We show that the
likelihood function
for a
multinomial vector
observed under arbitrary
interval censoring constraints
on the frequencies o
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